Can you help me solve systems of equations by elimination step by step -5x+9y=-12 3x+2y=22

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer:

Step-by-step explanation:

First solve -5x+9y=-12 for x:

-5x+9y=-12

-5x+9y-9y=-12-9y

-5x=-12-9

-5x=-9-12

-5x/-5=-9/5-12/-5

x=9/5y+12/6

Substitute x into an equation

3(-9/5y+12/6)+2y=22

37/5y+36/5=22

37/5y+36/5-36/5=22-36/5

37/5y=74/5

37/5y/37/5=74/5/37/5

y=2

Substitute y in x=-9/5y+12/6

9/5(2)+12/6

x=6

Solution Set: (6,2)

xoxo

You might be interested in

Write -5i, 2, and 7 in the simplest polynomial function given the roots

ruslelena [56]

Answer:

x^4-9x^3+39x^2-225x+350

Step-by-step explanation:

The simplest polynomial you can get with that roots are (x-5i)(x+5i)(x-2)(x-7)=x^4-9x^3+39x^2-225x+350

8 0

2 years ago

The pair of square pyramids are similar. Use the given information to find the scale factor of the smaller square pyramid to the

Mrrafil [7]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\stackrel{\stackrel{pyramids}{scale~factor}}{\cfrac{small}{large}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{64}}{\sqrt[3]{343}}\implies \cfrac{s}{s}=\cfrac{4}{7}\implies 4:7$

8 0

3 years ago

The other answer choice is 30

il63 [147K]

Answer:

21 pencils

Step-by-step explanation:

b 21 pencils

8 0

2 years ago

Which is greater than, less than, and equal to 18 tons or 36,000 lbs?

slamgirl [31]